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Finding the Fourth Proportional to 5,449.50, 8,174.25 and 1,986.75

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Solution

The fourth proportional to 5,449.50, 8,174.25 and 1,986.75 is: 2,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449.50 : 8,174.25 = 1,986.75 : x
  2. Step 2: Convert to fraction form
    5,449.50/8,174.25 = 1,986.75/x
  3. Step 3: Cross multiply
    5,449.50x = 8,174.25 × 1,986.75
  4. Step 4: Simplify right side
    5,449.50x = 16,240,191.19
  5. Step 5: Solve for x
    x = 16,240,191.19/5,449.50
  6. Step 6: Final answer
    x = 2,980.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.